Parametric Equations

Find the point based on the parametric equations. t = 3

x = 1 - 2t

y =4t + 1

• (-5, 13)

• (13, -5)

• (5, 13)

• (13, 5)

Which set of parametric equations satisfies the given data table?

• x(t) = t³ - 1
  y(t) = 2t
• x(t) = t³ - 1
  y(t) = t + 2
• x(t) = t + 8
  y(t) = t + 2
• x(t) = t + 8
  y(t) = 2t

Tags

CCSS.HSF-IF.C.7B

Write x = 2t  and y = t² + 3  in rectangular form .

• y = 4x²  + 3
• y = ¼ x² + 3
• y = 4t² + 12
• y = (x - 2)² + 3

Write the rectangular equation for the following parametric equations.

x = 4cosθ

y = 3sinθ^

Tags

CCSS.HSA.REI.C.8

Tags

CCSS.HSA.CED.A.3

Select all correct statements.

• Every rectangular equation can be expressed as a parametric equation.

• Every parametric equation can be expressed as a rectangular equation.

• The best approach to eliminate the parameter is always to solve for the parameter from one equation and substitute to the other one.

• If two parametrically defined curves intersects, they do so simultaneously.

Which of the following parametric equations corresponds to the graph?

Tags

CCSS.HSF-IF.C.7D